Consider an induction stove utilizing a primary heating coil located beneath the stove top. The coil is a solenoid with diameter 5.0 cm, length 1.0 cm, and 18 turns. The circuit elements in the stove supply the coil with a peak ac voltage of 340 V at a frequency of 50 kHz. The resistance of the coil is 1.0 Ω.
(a) What average power is dissipated in the coil when the stove is turned on but with nothing on the stove top?
(b) What average power must the stove deliver to 1.0 L of water initially at 20 ° C to bring it to boiling temperature in 5.0 min?